Stochastic processes with an embedded point process and their application to system reliability analysis
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In applied probability it is fairly familiar to investigate the temporal behaviour of a certain system considered by means of some appropriately chosen (in general random) embedded epochs. This is the idea of the famous method of an embedded Markov chain due to A.Ya. Khinchin and D.G. Kendall. Furthermore, several well-known classes of stochastic processes such as regenerative, semi-Markov and semi-regenerative processes are bases on the concept of embedded points.
KeywordsPoint Process System Reliability Sojourn Time Ergodic Theorem Marked Point Process
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